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Subtract Rational Numbers (Grade 7)

Related Topics:
Common Core for Grade 7
Common Core for Mathematics
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 7


 
Examples, solutions, worksheets, videos, and lessons to help Grade 7 students learn how to apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

C. Understand subtraction of rational numbers as adding the additive inverse, p – q = p+ (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

Common Core: 7.NS.1c

Suggested Learning Targets

  • I can explain that subtraction of rational numbers as the additive inverse, p – q = p + (-q).
  • I can use a number line to demonstrate that the distance between two numbers is the absolute value of the difference between those numbers. (ex. The distance from 8 and 12 is |8 - 12| = |-4|. The distance from 8 to 12 is 4.)
  • I can create real-world context to explain that the distance between two numbers is the absolute value of the difference between those numbers.
Understanding subtraction of rational numbers as adding the additive inverse (7.NS.1c)

Examples:
1. Rewrite as an addition problem and solve.
14 - 10
-7 - (-5)
-11 - 6
13 - (-9)

2. Karen earns $50 babysitting and $30 from doing yard work. Karen buys a $25 iTunes card. Represent this situation on a number line. In this lesson, you will learn how to subtract integers by adding the additive inverse.



Examples:
1. What is the distance between 6.4 and -8.2?
2. A jet is flying at 32,000 feet. A hot-air balloon is floating directly below the jet at 13,000 feet. How far apart are they?
3. What is the distance between -380 and 120 on a number line?
4. Mr. Berry did a cannonball off a diving board that was 1 1/2 meters above the water. He went 3/4 meter below the water's surface. How much distance did he cover?
5. There are 3 roads in Denver: Blake, Market, and Larimer that run North and South. They each meet 16th street that runs East and West. Blake is 3.4 miles west of Market. Larimer is 4.3 miles east of Blake. Describe Larimer with respect to Market.
6. Denver's temperatures in December are -3, 7, 9.5, -1, 0, 8, -3.5. What is the range of temperatures?
7. Katie sold art at a fair. The formula P = R - C shows the Profit (P) made. If the profit was $38.41 and the price of the art (R) was $80.47, how much did the art cost to make (C)?

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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